双树复小波 C++实现?

有没有人知道如何用C++实现双树复小波算法?需要利用双树复小波将图像分为高频子带和低频子带。

双树复小波是一种小波变换,可以将一幅图像分解为多个子带,其中高频子带包含了图像中的细节信息,低频子带包含了图像中的大致轮廓信息。以下是一个简单的双树复小波实现:

#include <iostream>
#include <vector>
#include <cmath>

using namespace std;

// 基础小波函数
double phi(double x) {
    double y = 0;
    if (x >= -0.5 && x < 0.5) {
        y = 1.0;
    }
    return y;
}

// 基础小波函数的低通滤波器
double lowPassFilter(double x) {
    double y = 0.5 * (phi(x / 2.0) + phi((x / 2.0) - 1));
    return y;
}

// 基础小波函数的高通滤波器
double highPassFilter(double x) {
    double y = 0.5 * (phi(x / 2.0) - phi((x / 2.0) - 1));
    return y;
}

// 计算一维离散小波变换
void dwt(vector<double>& signal, vector<double>& lowFreq, vector<double>& highFreq) {
    int n = signal.size();
    vector<double> temp(n);
    int h = n / 2;
    for (int i = 0; i < h; i++) {
        lowFreq[i] = highFreq[i] = 0.0;
        for (int j = 0; j < 2; j++) {
            int k = (2 * i) + j;
            if (k < n) {
                lowFreq[i] += lowPassFilter(k) * signal[k];
                highFreq[i] += highPassFilter(k) * signal[k];
            }
        }
    }
}

// 计算二维离散小波变换
void dwt2(vector<vector<double>>& image, vector<vector<double>>& lowFreq, vector<vector<double>>& highFreq) {
    int rows = image.size();
    int cols = image[0].size();
    vector<double> rowSignal(cols), colSignal(rows);
    vector<double> rowLowFreq(cols), rowHighFreq(cols);
    vector<double> colLowFreq(rows), colHighFreq(rows);

    // 水平方向小波变换
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < cols; j++) {
            rowSignal[j] = image[i][j];
        }
        dwt(rowSignal, rowLowFreq, rowHighFreq);
        for (int j = 0; j < cols; j++) {
            lowFreq[i][j] = rowLowFreq[j];
            highFreq[i][j] = rowHighFreq[j];
        }
    }

    // 垂直方向小波变换
    for (int j = 0; j < cols; j++) {
        for (int i = 0; i < rows; i++) {
            colSignal[i] = lowFreq[i][j];
        }
        dwt(colSignal, colLowFreq, colHighFreq);
        for (int i = 0; i < rows;